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Summary

In this chapter, we take advantage of particle swarm optimization to build fuzzy systems automatically for different kinds of problems by simply providing the objective function and the problem variables. Particle swarm optimization (PSO) is a technique used in complex problems, including multi-objective problems. Fuzzy systems are currently used in many kinds of applications, such as control, for their effectiveness and efficiency. However, these characteristics depend primarily on the model yield by human experts, which may or may not be optimized for the problem. To avoid dealing with inconsistent during the fuzzy systems generation, we used some known techniques, such as the WM method, to help evolving meaningful rules and clustering concepts to generate membership functions. Tests using three three-dimensional functions have been carried out and show that the evolutionary process is promising.

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References

  1. Beni, G., Wang, J.: Robots and Biological Systems: Towards a New Bionics? Toscana, Italy. NATO ASI Series (1989)

    Google Scholar 

  2. Chen, L., Chen, C.L.P.: Pre-shaped fuzzy c-means algorithm (pfcm) for transparent membership function generation. In: Proc. of IEEE International Conference on Systems, Man and Cybernetics, pp. 789–794 (October 2007)

    Google Scholar 

  3. Cintra, M.E., Camargo, H.A.: Fuzzy rules generation using genetic algorithms with self-adaptive selection. In: Proc. of IEEE International Conference on Information Reuse and Integration, pp. 261–266 (August 2007)

    Google Scholar 

  4. Cordón, O., Herrera, F.: A hybrid genetic algorithm-evolution strategy process for learning fuzzy logic controller knowledge bases. In: Genetic Algorithms and Soft Computing, pp. 251–278. Physica-Verlag, Heidelberg (1996)

    Google Scholar 

  5. Cox, E.: The Fuzzy Systems Handbook: A Practitioner’s Guide to Building, Using, and Maintaining Fuzzy Systems. Academic Press Limited, Oval Road (1994)

    MATH  Google Scholar 

  6. Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. John Wiley Sons Ltd., England (2005)

    Google Scholar 

  7. Guo, B., Liang, X., Wang, B., Wan, L.: Sigmoid surface control for mini underwater vehicles by improved particle swarm optimization. In: Proc. of International Conference on Robotics and Biomimetics (December 2007)

    Google Scholar 

  8. Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proc. of IEEE International Conference on Neural Networks, pp. 1942–1948. IEEE Computer Society Press, Los Alamitos (1995)

    Chapter  Google Scholar 

  9. Kim, M.S., Kim, C.-H., Lee, J.j.: Evolving compact and interpretable takagi-sugeno fuzzy models with a new encoding scheme. IEEE Transactions on Systems, Man, and Cybernetics, Part B 36, 1006–1023 (2006)

    Article  Google Scholar 

  10. Krone, A., Slawinski, T.: Data-based extraction of unidimensional fuzzy sets for fuzzy rule generation. In: Proc. of IEEE International Conference on Fuzzy Systems, vol. 02, pp. 1032–1037 (1998)

    Google Scholar 

  11. Nedjah, N., Mourelle, L.M.: Swarm Intelligent Systems. Springer, Heidelberg (2006)

    Book  Google Scholar 

  12. Rivas, V.M., Merelo, J.J., Rojas, I., Romero, G., Castillo, P.A., Carpio, J.: Evolving two-dimensional fuzzy systems. Fuzzy Sets Systems 138(2), 381–398 (2003)

    Article  MathSciNet  Google Scholar 

  13. Setnes, M., Roubos, H.: GA-fuzzy modeling and classification: complexity and performance. IEEE Transactions on Fuzzy Systems 08, 509–522 (2000)

    Article  Google Scholar 

  14. Shi, Y., Eberhart, R.C.: A Modified Particle Swarm Optimizer. In: Proc. of IEEE Congress on Evolutionary Computation, pp. 69–73. IEEE Computer Society Press, Los Alamitos (1998)

    Google Scholar 

  15. Wang, L.X.: The WM method completed: A flexible fuzzy system approach to data mining. IEEE Transactions on Fuzzy Systems 11, 768–782 (2003)

    Article  Google Scholar 

  16. Zadeh, L.A.: Fuzzy sets. Information and Control 08, 338–353 (1965)

    Article  MathSciNet  Google Scholar 

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Nedjah, N., Costa, S.O., de Macedo Mourelle, L., dos Santos Coelho, L., Mariani, V.C. (2011). PSO in Building Fuzzy Systems. In: Nedjah, N., dos Santos Coelho, L., Mariani, V.C., de Macedo Mourelle, L. (eds) Innovative Computing Methods and Their Applications to Engineering Problems. Studies in Computational Intelligence, vol 357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20958-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-20958-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

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